Factors of 1080
The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1080 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1080 ≈ 32.86; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3600. Without 1080 itself that is 2520, so 1080 is an abundant number.
LaTeX source of the formulas on this page
\[ 1080 = 2^{3} \times 3^{3} \times 5 \]Factor pairs of 1080
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1080 | 1 × 1080 = 1080 |
| 2 | 540 | 2 × 540 = 1080 |
| 3 | 360 | 3 × 360 = 1080 |
| 4 | 270 | 4 × 270 = 1080 |
| 5 | 216 | 5 × 216 = 1080 |
| 6 | 180 | 6 × 180 = 1080 |
| 8 | 135 | 8 × 135 = 1080 |
| 9 | 120 | 9 × 120 = 1080 |
| 10 | 108 | 10 × 108 = 1080 |
| 12 | 90 | 12 × 90 = 1080 |
| 15 | 72 | 15 × 72 = 1080 |
| 18 | 60 | 18 × 60 = 1080 |
| 20 | 54 | 20 × 54 = 1080 |
| 24 | 45 | 24 × 45 = 1080 |
| 27 | 40 | 27 × 40 = 1080 |
| 30 | 36 | 30 × 36 = 1080 |
Questions
What are the factors of 1080?
The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. It has 32 factors.
What are the prime factors of 1080?
2, 3, 5. As a product: × × 5.
How many factors does 1080 have?
1080 has 32 factors (16 factor pairs).
What is the sum of the factors of 1080?
3600.
Is 1080 a prime number?
No. It is divisible by 2, so 1080 = 2 × 540.